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»
Mathematica
>
Mathematics and Algorithms
>
Mathematical Functions
>
Mathematical Constants
>
E (
)
>
BUILT-IN MATHEMATICA SYMBOL
Some Mathematical Functions
Mathematical Constants
Tutorials »
|
Exp
Log
Pi
N
Limit
See Also »
|
Continued Fractions & Rational Approximations
Mathematical Constants
Mathematical Functions
More About »
E
E
is the exponential constant
(base of natural logarithms), with numerical value
.
MORE INFORMATION
Mathematical constant treated as numeric by
NumericQ
and as a constant by
D
.
E
can be evaluated to any numerical precision using
N
.
E
can be entered in
StandardForm
and
InputForm
as
,
Esc
ee
Esc
or
\[ExponentialE]
.
In
StandardForm
and
TraditionalForm
,
E
is printed as
.
EXAMPLES
CLOSE ALL
Basic Examples
(3)
E
can be entered as
Esc
ee
Esc
(for "exponential e"):
Evaluate to any precision:
Do an exact numerical computation:
E
can be entered as
Esc
ee
Esc
(for "exponential e"):
In[1]:=
Out[1]=
Evaluate to any precision:
In[1]:=
Out[1]=
Do an exact numerical computation:
In[1]:=
Out[1]=
Applications
(5)
The first 20 digits of
in base 10:
has a very regular continued fraction:
Evaluate symbolic relations involving
:
Mathematical functions and operations often give results involving
:
Solve the Steiner problem:
Properties & Relations
(5)
Exp
[
z
]
is automatically converted to
:
is not an algebraic number:
Use
TrigToExp
to obtain
E
from hyperbolic and trigonometric functions:
Find twenty base-10 digits after the millionth one:
arises in many limiting results:
Neat Examples
(1)
Weyl-type sum involving
E
:
SEE ALSO
Exp
Log
Pi
N
Limit
TUTORIALS
Some Mathematical Functions
Mathematical Constants
MORE ABOUT
Continued Fractions & Rational Approximations
Mathematical Constants
Mathematical Functions
RELATED LINKS
Implementation notes: Numerical and Related Functions
MathWorld
The Wolfram Functions Site
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